Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 304/266,7982/667
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 304,7982
Greatest Common Factor of Numerators i.e. GCF of 304,7982 is 2 .
LCM of Denominators means LCM of 266,667 as per the given fractions.
LCM of 266,667 is 177422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 304,7982
2 | 304, 7982 |
152, 3991 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 7982
List of positive integer factors of 7982 that divides 7982 without a remainder.
1,2,13,26,307,614,3991,7982
Greatest Common Factor
We found the factors 304,7982 . The biggest common factor number is the GCF number.
So the greatest common factor 304,7982 is 2.
Lets's calculate LCM of 266,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 177422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/177422
Therefore, the GCF of Fractions 304/266,7982/667 is 2/177422
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 266,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,667) x common factors =1 x 1 = 1
LCM(266,667) = ( 266 × 667 ) / 1
LCM(266,667) = 177422 / 1
LCM(266,667) = 177422
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 304/266, 7982/667?
Answer: GCF of Numerators as per given numbers 304/266, 7982/667 is
GCF of Numerators i.e. for 304,7982 is 2
LCM of denominators i.e. for 266,667 is 177422.
Thus, GCF of Fractions is 2/177422.Finally, GCF of Fractions for 304/266, 7982/667 is 2/177422.